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Beliebt Rechnen >

(\partial)/(\partial x)(y-x^2-7z^2)

Lösung

\frac{\partial}{\partial x} (y - x^{2} - 7 z^{2})

Lösung

- 2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (y - x^{2} - 7 z^{2})

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (y) - \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (7 z^{2})

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (7 z^{2}) = 0

= 0 - 2 x - 0

Vereinfache

= - 2 x

Beliebte Beispiele

tangent f(x)=x^2+8,\at x=2

t an g e n t f (x) = x^{2} + 8, at x = 2

integral of e^x+2

\int e^{x} + 2 d x

limit as x approaches-infinity of x^2+6

x \to - \infty lim (x^{2} + 6)

integral of ((3y-8))/(y^2-4y-5)

\int \frac{( 3 y - 8 )}{y ^{2} - 4 y - 5} d y

integral of 1/((3x+7)^2)

\int \frac{1}{( 3 x + 7 ) ^{2}} d x